We will cancel inches to get ounces per second.
[tex] \frac{72in}{3 s}*\frac{0.58oz}{in}=13.92\frac{oz}{s} [/tex]
Now, we invert our answer so we can multiply by 11,000 oz and cancel oz to get s.
[tex] \frac{s}{13.92oz}*11000oz=790.23s [/tex]
Answer : The time taken for the tub to fill with 11000 ounces of water is, 790.23 seconds.
Explanation :
First we have to calculate the level of water in 'inch'.
As, 0.58 ounce of water fill the tub = 1 inch
So, 11000 ounce of water fill the tub = [tex]\frac{1inch}{0.58ounce}\times 11000ounce=18965.52inch[/tex]
Now we have to time taken for the tub to fill the water.
As, 72 inch is fill with water in 3 seconds
So, 18965.52 inch is fill with water in [tex]\frac{3seconds}{72inch}\times 18965.52 inch=790.23seconds[/tex]
Therefore, the time taken for the tub to fill with 11000 ounces of water is, 790.23 seconds.
